Suppose 56%of politicians are lawyers.If a random sample of size 564 is selected, what is the probability that the proportion of
1 answer:
Answer: 0.9444
Step-by-step explanation:
Given: The proportion of politicians are lawyers : <em>p </em>=0.56
Sample size : n = 564
Let q be th sample proportion.
The probability that the proportion of politicians who are lawyers will differ from the total politicians proportion by greater than 4% will be :-
Hence, the required probability = 0.9444
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Hey. Why are you so worried. Here is the answer. There is a very small problem.It is that the decimal point is not added.
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You can see the three diagram attached. Each link is labeled with the probability: you have probability 1/6 that a six is rolled, and 5/6 that it is not rolled.
To answer the questions, find the path that brings you to the desired outcome, and multiply all the labels you meet.
First question:
To get three sixes, you have to choose the left path at each roll. The probability is always 1/6, so the answer is
Second question:
To get no sixes, you have to choose the right path at each roll. The probability is always 5/6, so the answer is
Third question:
To get exactly one six, it can either be the first, second or third roll.
In all cases, you have to choose the left path once and the right path twice: left-right-right mean that you get the six in the first roll, right-left-right means that you get the six in the second roll, right-right-left means that you get the six in the third roll.
In every case, the left turn has probability 1/6, and the right turn has probability 5/6. The probability of each combination is thus
And since there are three of these combinations, The answer is
Fourth question:
Since the question suggests to use what we already achieved, let's do it: having at least one six is the complementary event of having no sixes at all. If an event has probability p, its complementary has probability 1-p. So, since the probability of no sixes is known, the probability of at least one six is
